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9.1 Multiplying and Dividing Rational Expressions

9.1 Multiplying and Dividing Rational Expressions. Complex fractions. Definition of a Rational Expression. In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. Since they are fractions. Simplify a Rational Expression.

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9.1 Multiplying and Dividing Rational Expressions

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  1. 9.1 Multiplying and Dividing Rational Expressions Complex fractions

  2. Definition of a Rational Expression In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions.

  3. Since they are fractions Simplify a Rational Expression. Divide the same expression from numerator and denominator

  4. Since they are fractions Simplify a Rational Expression. Divide the same expression from numerator and denominator

  5. Since they are fractions There are numbers that will not work in the Rational expression. They are -7, 3 and -3. Why?

  6. Since they are fractions Factor out the denominator. Can you see why -7, 3 and -3 do not work as answers?

  7. Since they are fractions Factor out the denominator. -7, 3 and -3 do not work as answers because they make the denominator zero. They are called Excluded Values.

  8. Simplify Assume the denominator cannot equal zero.

  9. Simplify Assume the denominator cannot equal zero. Factor out a negative one to move things around

  10. Simplify Assume the denominator cannot equal zero.

  11. Simplify Assume the denominator cannot equal zero.

  12. Multiply the fractions Reduce to simplest form

  13. Multiply the fractions Reduce to simplest form. Multiply straight across

  14. Multiply the fractions Reduce to simplest form

  15. Multiply the fractions Reduce to simplest form.

  16. Multiply the fractions Reduce before multiply.

  17. Multiply the fractions Reduce before multiply.

  18. Multiply the fractions Reduce before multiply.

  19. Multiply the fractions Reduce before multiply.

  20. Multiply the fractions Reduce before multiply.

  21. Multiply the fractions Reduce before multiply.

  22. Multiply the fractions Reduce before multiply.

  23. What is the difference of Division and Multiply of fractions? Do you remember?

  24. What is the difference of Division and Multiply of fractions? When dividing you multiply by the inverse of the second fraction.

  25. Divide the Rational Expressions You can only Reduce when Multiplying

  26. Divide the Rational Expressions You can only Reduce when Multiplying

  27. Definition of Complex fraction A fraction with fractions in the numerator or denominator.

  28. How to simplify a Complex fraction Remember fractions are division statements.

  29. Simplify the Complex fraction Remember fractions are division statements.

  30. Simplify the Complex fraction Remember fractions are division statements.

  31. Simplify the Complex fraction

  32. Simplify the Complex fraction

  33. Simplify the Complex fraction

  34. Homework Page 476 – 477 # 15,19, 23, 27, 31, 35, 37, 41

  35. Homework Page 476 – 477 # 16,20, 24, 28, 32, 36, 38, 40

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